What is the difference between the actual increase in profit as production increases from 5 to 6 units, and the marginal profit at a production level of 5 units where the profit function is given by
p(x)= 3x^2 - 5x + 2

First I plugged 5 into the equation and got 52. Then I took the derivative which is 6x -5 and plugged in 5 and got 25. 52 - 25 = 27. Is this correct?